• William R. Fuller
Part of the Universitext book series (UTX)


The concept of limit, which is fundamental in the study of modern calculus, was developed by Augustin Cauchy during the first quarter of the nineteenth century and helped to put calculus on a rigorous foundation. As great and pervasive as was the work of Newton and Leibnitz, these mathematicians did not possess this important notion. As a result, the validity of their work was questioned for almost two hundred years.


Infinite Series Geometric Progression Successive Term Successive Element Actual Convergence 
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  1. 1.
    See also Volume 1 of The World of Mathematics by James R. Newman, Simon and Schuster, 1956. In this reference other sources of the sequence and instances of its occurrence in nature are given.Google Scholar

Copyright information

© Springer-Verlag, New York Inc. 1977

Authors and Affiliations

  • William R. Fuller
    • 1
  1. 1.Departmnt of MathematicsPurdue UniversityWest LafayetteUSA

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